Answer:
If a<b, x<2
If a>b, x>2
Step-by-step explanation:
ax-bx>2a-2b, (a-b)x>2(a-b)
If a>b, x>2(a-b)/(a-b)=2
If a<b, x<2(a-b)/(a-b)=2
2.5... if you question was 5/2
We can expand

Then using the product and chain rules,



Answer:
It is not a right triangle.
Step-by-step explanation:
We can prove this by Pythagorean theorem because it represents to a right triangle.
Pythagorean theorem:
a² + b² = c²
Now substitute the values.
Note: the longest side will represent c
So,
a = 10 m
b = 16 m
c = 20 m
10² + 16² = 20²
The objective here is to make them equal.
100 + 256 = 400
356 ≠ 400
They are not equal so it is not considered a right triangle.
Answer:
Part 1. 0.9259 % per year
Part 2. P = 281.4e^(0.009 259t); 338.6 million
Step-by-step explanation:
Data:
P₀ = 281.4 million
P = 308.7 million
Part 1. Growth rate
t = 2010 - 2000 = 10 yr
P = P₀e^(rt)
308.7 = 281.4e^(10r)
e^(10r) = 1.0970
10r = ln1.0970
r = (ln1.0970)/10 = (0.092 59)/10 = 0.009 259
r = 0.9259 % per year
The 10-year continuous growth rate is 0.9259 % per year.
Part 2. Population model
The population model is
P = 281.4e^(0.009 259t)
where P is in millions and t is the number of years since 2000.
By 2020,
P = 281.4e^(0.009 259 × 20) = 281.4e^0.1852 = 281.4 × 1.203
P = 338.6 million
The estimated population in 2020 is 338.6 million.